ICTP Math Associates Seminar (Zoom Meeting) - Thursday 24 September at 14:00 (Vamsi Pritham Pingali)
ICTP Math Section
math at ictp.it
Fri Sep 18 13:46:48 CEST 2020
Math Associates Seminar
Thursday 24 September 2020, at 14:00, Central European Time
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Speaker: Vamsi Pritham Pingali (IISC,India)
Title: Numerical criteria for the solvability of generalised
Monge-Ampere equations on projective manifolds
Generalised Monge-Ampere equations are a family of PDE that contain
inverse Hessian equations like the J-equation, and special cases of the
deformed Hermitian-Yang-Mills equation. I shall describe a couple of
results about them. Firstly, these equations can be solved on projective
manifolds if and only if Nakai-Moizeshon / Demailly-Paun-style
intersection numbers are positive. This result improves a recent theorem
of Gao Chen (who assumed uniform strict-positivity), and settles a
conjecture of Lejmi-Szkelyhidi in the projective case. Secondly,
assuming uniform strict-positivity, an equivariant version of the same
Thus, earlier results due to Collins-Szekelyhidi are recovered.
This work is joint with Ved Datar.
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